Self-organization and phase transition in financial markets with multiple choices

Market confidence is essential for successful investing. By incorporating multi-market into the evolutionary minority game, we investigate the effects of investor beliefs on the evolution of collective behaviors and asset prices. It is found that the roles of market confidence are closely related to whether or not there exists another market. When there exists another investment opportunity, different market confidence may lead to the same price fluctuations and the same investment attainment. There are two feedback effects. Being overly optimistic about a particular asset makes an investor become insensitive to losses. A delayed strategy adjustment leads to a decline in wealth and one's runaway from the market. The withdrawal of the agents results in the optimization of the strategy distributions and an increase in wealth. Being overly pessimistic about a particular asset makes an investor over-sensitive to losses. One's too frequent strategy adjustment leads to a decline in wealth. The withdrawal of the agents results in the improvement of the market environment and an increase in wealth.